233728000 has 192 divisors, whose sum is σ = 643930560. Its totient is φ = 83968000.

The previous prime is 233727983. The next prime is 233728009. The reversal of 233728000 is 827332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (233728009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2815959 + ... + 2816041.

It is an arithmetic number, because the mean of its divisors is an integer number (3353805).

Almost surely, 2^233728000 is an apocalyptic number.

233728000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321965280).

233728000 is an abundant number, since it is smaller than the sum of its proper divisors (410202560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233728000 is an equidigital number, since it uses as much as digits as its factorization.

233728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 233728000 is about 15288.1653575568. The cubic root of 233728000 is about 615.9851573418.

The spelling of 233728000 in words is "two hundred thirty-three million, seven hundred twenty-eight thousand".